I don't look for fabric, so I don't know of specific ships, but whenever I need anything I don't know where to get it from, I always search eBay. I have found sellers of products at good prices and quality on there.
Rather than 'Asian" these look very much like West African fabrics. Ive seen lots on my trips to Ghana, but not here - unless at incredibly inflated prices. SO hard to get in Australia. The only place I have managed to buy is from a business in New Zealand, so it becomes quite expensive.